Results 31 to 40 of about 14,965,840 (158)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Numerical solution of Riemann-Hilbert problems: Painleve II [PDF]

, 2009
We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We demonstrate the effectiveness of this approach by computing solutions to the homogeneous Painleve II equation.
Olver, Sheehan
core  

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Universality for eigenvalue correlations at the origin of the spectrum

, 2003
We establish universality of local eigenvalue correlations in unitary random matrix ensembles (1/Z_n) |\det M|^{2\alpha} e^{-n\tr V(M)} dM near the origin of the spectrum.
Kuijlaars, A. B. J., Vanlessen, M.
core   +3 more sources

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

On a new approach to the study of plane boundary-value problems

Доповiдi Нацiональної академiї наук України
We give a short description of our recent results obtained by a new approach to the boundary-value problems, such as the Dirichlet, Hilbert, Neumann, Poincaré and Riemann problems, for the Beltrami equations and for analogs of the Laplace equation in ...
V.Ya. Gutlyanskiĭ, V.I. Ryazanov, A.S. Yefimushkin   +2 more
doaj   +1 more source

Quasi-linear Stokes phenomenon for the second Painlev\'e transcendent

, 2001
Using the Riemann-Hilbert approach, we study the quasi-linear Stokes phenomenon for the second Painlev\'e equation $y_{xx}=2y^3+xy-\alpha$. The precise description of the exponentially small jump in the dominant solution approaching $\alpha/x$ as $|x|\to\
A A Kapaev, A R Its, Andreev F V, Basor E L, Bateman H, Beals R, Boutroux P, Boutroux P, Costin O, Deift P, Deift P, Deift P A, Deift P A, Flaschka H, Fokas A S, Fokas A S, Ince E L, Its A R, Its A R, Its A R, Its A R, Its A R, Its A R, Its A R, Kapaev A A, Kapaev A A, Kapaev A A, Kapaev A A, Kapaev A A, Kitaev A V, Litvinchuk G, Novokshenov V Yu, Novokshenov V Yu, Takei Y, Takei Y, Winternitz, Zhou X   +36 more
core   +1 more source

Band‐Pass Filtering With High‐Dimensional Time Series. A Synthetic Indicator of the Medium‐to‐Long Run Component of Growth

Journal of Time Series Analysis, EarlyView.
ABSTRACT The paper deals with the construction of a synthetic indicator of economic growth, obtained by projecting a quarterly measure of aggregate economic activity, namely gross domestic product (GDP), into the space spanned by a finite number of smooth principal components, representative of the medium‐to‐long‐run component of economic growth of a ...
Alessandro Giovannelli, Marco Lippi, Tommaso Proietti   +2 more
wiley   +1 more source

Riemann–Hilbert technique scattering analysis of metamaterial-based asymmetric 2D open resonators

EPJ Applied Metamaterials, 2017
The scattering properties of metamaterial-based asymmetric two-dimensional open resonators excited by an electric line source are investigated analytically.
Kamiński Piotr M., Ziolkowski Richard W., Arslanagić Samel   +2 more
doaj   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source